|
%I #21 Jul 10 2017 04:00:38
%S -1440,319680,-73733760,17014849920,-3926422987200,906079372542720,
%T -209091033317387520,48250806224270918400,-11134577434408058898720,
%U 2569466177758810678838400,-592941804710481150566417280,136829971461225574971638023680
%N a(n) = 6 * Sum_{d|n} d * A110163(d).
%H Seiichi Manyama, <a href="/A289633/b289633.txt">Table of n, a(n) for n = 1..422</a>
%H Ken Ono, <a href="http://www.ams.org/books/cbms/102/cbms102-endmatter.pdf">The Web of Modularity: Arithmetic of the Coefficients of Modular Forms and q-series</a>, CBMS Regional Conference Series in Mathematics, vol. 102, American Mathematical Society, Providence, RI, 2004.
%F a(n) == A000594(n) mod 11.
%F a(n) ~ 6 * (-1)^n * exp(Pi*sqrt(3)*n). - _Vaclav Kotesovec_, Jul 09 2017
%e G.f.: -1440*q + 319680*q^2 - 73733760*q^3 + 17014849920*q^4 - 3926422987200*q^5 + ...
%e a(1) = 6 * (1 * A110163(1)) = -1440,
%e a(2) = 6 * (1 * A110163(1) + 2 * A110163(2)) = 319680,
%e a(3) = 6 * (1 * A110163(1) + 3 * A110163(3)) = -73733760.
%Y Cf. A000594, A110163, A126839 (A000594(n) mod 11), A289636.
%K sign
%O 1,1
%A _Seiichi Manyama_, Jul 08 2017
| 